
The Kenmochi condition 6.58 in [1]} then produces the bound
\( d \hat{\hspace{-1.49994pt}l }_\rho (\operatorname{epi}f, \operatorname{epi}\tilde{f}^\nu ) \le \max \big \lbrace \eta _1^\nu , ~\beta /\sqrt{\theta ^\nu }, ~\eta _2^\nu + \beta \Vert y^\nu \Vert _2 /\sqrt{\theta ^\nu }\big \rbrace .\) 
